## On Gross's Refined Class Number Formula for Elementary Abelian Extensions

J. Math. Sci. Univ. Tokyo
Vol. 4 (1997), No. 2, Page 373--383.

Lee, Joongul
On Gross's Refined Class Number Formula for Elementary Abelian Extensions
In this paper we consider the conjecture of Gross on the special values of abelian $L$-functions when the Galois group $G$ is an elementary abelian $l$-group. Under some restrictions, we prove that the conjecture holds when the class number of the base field is prime to $l$.